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Simplifying (7t + -2) + -1(-3t) = -3(1 + -3t) Reorder the terms: (-2 + 7t) + -1(-3t) = -3(1 + -3t) Remove parenthesis around (-2 + 7t) -2 + 7t + -1(-3t) = -3(1 + -3t) Remove parenthesis around (-3t) -2 + 7t + -1 * -3t = -3(1 + -3t) Multiply -1 * -3 -2 + 7t + 3t = -3(1 + -3t) Combine like terms: 7t + 3t = 10t -2 + 10t = -3(1 + -3t) -2 + 10t = (1 * -3 + -3t * -3) -2 + 10t = (-3 + 9t) Solving -2 + 10t = -3 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -2 + 10t + -9t = -3 + 9t + -9t Combine like terms: 10t + -9t = 1t -2 + 1t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 -2 + 1t = -3 + 0 -2 + 1t = -3 Add '2' to each side of the equation. -2 + 2 + 1t = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 1t = -3 + 2 1t = -3 + 2 Combine like terms: -3 + 2 = -1 1t = -1 Divide each side by '1'. t = -1 Simplifying t = -1
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